Solve the equation by factoring: 12y^3 – 13y^2 + 3y = 0

Answers

Answer 1

Answer:

y = 0, y = [tex]\frac{1}{3}[/tex], y = [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Given

12y³ - 13y² + 3y = 0 ← factor out y from each term

y(12y² - 13y + 3) = 0

y(3y - 1)(4y - 3) = 0 ← in factored form

Equate each factor to zero and solve for y

y = 0

3y - 1 = 0 ⇒ 3y = 1 ⇒ y = [tex]\frac{1}{3}[/tex]

4y - 3 = 0 ⇒ 4y = 3 ⇒ y = [tex]\frac{3}{4}[/tex]


Related Questions

The perimeter of a rectangular painting is 270 cm.
If the length of the painting is 82 cm, what is its width?
Width of the painting: []

Answers

The anwser is 53 cm each

Answer:

p/2 _l step 1. 270 ÷2= 135. 135- 82 = 53 width of the painting = 53

A rectangular room is 7 times as long as it's wide and it's perimeter is 64metres. Find the dimension of the room.

Answers

Answer:

Length = 28 meters Width = 4 meters

Step-by-step explanation:

Assume the width of the rectangle is x. That means that the length of the rectangle is 7x which is 7 times as long as it is wide.

Perimeter of a rectangle:

= Length + length  + Width + Width

Therefore:

7x + 7x + x + x = 64

16x = 64

x = 64/16

x = 4 meters

Length is 7 times as long:

= 4 * 7

= 28 meters

Is (8, 3) a solution to the system?
- x + 4y = 4
- x + 3y = 1

Answers

Answer:

Step-by-step explanation:

You can either substitute (8, 3) into both equations as a test, or you can find the solution yourself.

Rewrite

- x + 4y = 4

- x + 3y = 1

as

- x + 4y = 4

+ x - 3y = -1

and combine like terms.  The result is y = 3.  Then -x + 4(3) = 4, or 8 = x.

Yes, (8, 3) is a solution of this SYSTEM.


Please help and show work ASAP DUE SPON

Answers

Answer:

452.2

Step-by-step explanation:

r x r x h x 3.14 (pi) = 6x6x3.14x4=452.16, rounded to tenth is 452.2

Answer:

452.4in³

Step-by-step explanation:

diameter= 12in.

radius= 12÷2

= 6in.

volume= πr²h

=π×6²×4

= π×36×4

= 113.097336×4

= 452.389

≈ 452.4in³

Please answer the following question:

Answers

Answer:

circumference=πd

3.142×(7.5+7.5)

3.142× 15

47.13

Solve by graphing.
2x +y=1
x – 2y = 8
The solution to this system of equations is:
x-coordinate:
y-coordinate:

Answers

Given:

The given system of equations is:

[tex]2x+y=1[/tex]

[tex]x-2y=8[/tex]

To find:

The solution to this system of equations by graphing.

Solution:

We have,

[tex]2x+y=1[/tex]

[tex]x-2y=8[/tex]

The table of values for first equation is:

x       y

0      1

1      -1

Plot the points (0,1) and (1,-1) on a coordinate plane and connect them a straight line.

The table of values for second equation is:

x       y

0      -4

2      -3

Plot the points (0,-4) and (2,-3) on a coordinate plane and connect them a straight line.

The graphs of given equations are shown in the below figure.

From the below figure, it is clear that the lines intersect each other at point (2,-3). So, the solution of the given system of equations is (2,-3).

Therefore, the solution to this system of equations is:

x-coordinate: 2

y-coordinate: -3

Write an equation of the line below

Answers

y=2x
the slope is 2/1 and the y-intercept is 0

10)
1360°
A) 13.6 ft
C) 9.4 ft
B) 190.9 ft
D) 91.6 ft
Find the Arc Length of the circle above.

Answers

Answer:  It's supposed to be A) 13.6 ft

Find the solution of this system of equations. Separate the x- and y-values with a comma. x= -8+y -3x – 3y = 24 ​

Answers

Answer:

(-8,0)

Step-by-step explanation:

X=-8+y equation 1

-3x-3y=24 equation 2

-3(-8+y)-3y=24 sub x value in equation into x value of equation 2

24-3y-3y=24

-6y=0

y=0

solve for x

x=-8+y

x=-8+0

x=-8

check answer:

-3x-3y=24

-3(-8)-3(-0)=24

24-0=24

24=24

please help me I only have 2 minutes left winner gets brainliest is 1 + (8r+9) and (2+8) + 8r equivalent

Answers

Answer:

Yes, this is equivalent.

Hope this helps!

can ace and expert help me in which number does 7 resent 10 times the value that it respesnts in 167 300​

Answers

Answer:

D

7k*10=70k

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Because it is in the 4th place and x 10 moves it over 1 so in 5th place then

In tilton school there are 380 students in key stage 3 240 students in key stage 4 110 students in key stage 5 phoebe is carrying out a survey. she needs a sample of 100 students

Answers

Answer:

52

Step-by-step explanation:

Total Number of students :

Stage 3 : 380

Stage 4 : 240

Stage 5 : 110

Total = (380 + 240 + 110) = 730

Number of samples required = 100

Number of key stage 3 students required :

(Key stage 3 / total) * number of samples

(380 / 730) * 100

= 0.5205479 * 100

= 52.0547

= 52

Mean: also called the average. The mean is found by adding all the numbers in the set and then dividing that total by the number of values in the set Median: is the middle value when the numbers are in order from least and greatest. If there are two numbers left in the center, add the 2 numbers together and then divide that total by 2. Mode: the number that is listed most often Range: the difference in the largest and the smallest number. 1. Given the data set 18, 3, 22, 30, 15 Find the following: Mean_________ Median_________ Mode____________ Range____________

Answers

Answer:

Mean: 17.6 Median: 18 Mode: N/A Range: 27

Step-by-step explanation:

w(x) = −3x− 4; Find w(7)

Answers

Step-by-step explanation:

Given

w(x) = - 3x - 4

Now

w(7) = - 3 * 7 - 4

= - 21 - 4

= - 25

Hope it will help :)❤

help pls, pls not links!!

Answers

answer:
5

explanation:
it is 5 units long from A to B

Answer:

15

Step-by-step explanation:

i dont know if your looking for the area but i can help you out on that, and im sooper sorry if this is the wrong answer! Plz forgive me if so!

d,a is 3 and from d to c is 5, 3x5=15, thats the area of the square!!

If you were looking for a different answer plz forgive me you didnt exactly tell us what you were looking for so i kinda just guessed it was area of the square real sorry if this is wrong!!

2y - 3x + 6x - y
simplify this for me ?

Answers

Answer:

3x + y

Step-by-step explanation:

combine like terms

-3x + 6x = 3x

2y - y = y

Final Answer: 3x + y

step 1: you want to isolate the variables as best as you can, so get the “x” terms and “y” terms next to each other.

2y - y -3x + 6x

step 2: add/subtract to get one “y term” and one “x term.”

y + 3x

:)Can someone answer this

Answers

Answer:

6.50 + 5.75n

Step-by-step explanation:

6.50 for the first hour only being charged once and the 5.75 being for the number of hours (n) she works after the first hour

Answer:

B

Step-by-step explanation:

n is how many additional hours after the first hour she babysits. She charges $5.75 for each additional hour. So, that would be:

5.75n

But for the first hour, she charges 6.50. So that would be:

6.50+5.75n

Solve for x:

Plzzzzzzzzzz

Answers

Answer:

1: x=18   2: x=7   3: x=12

Step-by-step explanation:

1:  7x+3=9x-33

    2x=36

     x=18

2:  16x+(6x=26)=180

     22x=154

      x=7

3:  (10x-17)-(2x-3)=90

     8x-14=104

      x=12

Answer and Step-by-step explanation:

1.

7x + 3 = 9x - 33

Subtract 7x from both sides, and add 33 to both sides of the equation.

36 = 2x

Divide both sides by 2.

x = 18

2.

6x + 26 + 16x = 180

Combine like terms.

22x + 26 = 180

Subtract 26 from both sides of the equation.

22x = 154

Divide 22 from both sides of the equation.

x = 7

3.

90 + 2x - 3 = 10x - 17

Add 17 to both sides of the equation, subtract 2x from both sides of the equation and combine like terms.

104 = 8x

Divide 8 from both sides of the equation.

x = 13

#teamtrees #PAW (Plant And Water)

The graph below shows the equation y=2x+4
2
In the space below, describe the effect on this graph if the equation were changed to y=3x+4

Answers

Answer:

C. the lines will be intersecting but neither parallel nor perpendicular

Step-by-step explanation:

changing the x coeficient means you're changing the gradien/ slope. so it will intersecting in one point of y if the x = 0

y = 2x + 4

y = 2(0) + 4 = 4

y = 3x + 4

y = 3(0) + 4 = 4

Answer:

Step-by-step explanation:

If you type this equation onto the graphing calculator you can clearly tell the lines intersect therefore the right answer is the last one.

3. in Figure 1, which of the following guarantees that alb?
A 2127
t
B. 325
C. 24 25
1 2
3 4
D. 24 27
5/6
78
Figure 1

Answers

pakii Ayus po

Step-by-step explanation:

favsywuwinswyuqoqpwieygsbsnwjqkqkhzvshqjqkjwhegwy

In order, range, median, mode and mean. Round the mean to the nearest tenth.
PLS HELP ASAP

Answers

Answer:

Range: 40

Median: 55

Mode: 72

Mean: 54.6

Step-by-step explanation:

First, let's put all of the numbers down.

32, 34, 35, 40, 41, 54, 54, 56, 63, 69, 70, 72, 72, 72

Now, to find the range, subtract 72 - 32 = 40

To find the median, find the number in the middle

32, 34, 35, 40, 41, 54, 54, 56, 63, 69, 70, 72, 72, 72

Because there are an even amount of numbers we will find the mean of those two numbers which would be 55.

To find the mode, look for the number that appears the most.

32, 34, 35, 40, 41, 54, 54, 56, 63, 69, 70, 72, 72, 72

To find the mean, add everything up.

32, + 34, + 35, + 40, + 41, + 54, + 54, + 56, + 63, + 69, + 70, + 72, + 72, + 72 = 764

Then, divide. 764 ÷ 14 = 54.6 when rounded to the nearest tenth.

I hope that this helps, and you have a great day! :)

I AM GIVING OUT BRAINIEST
do all those pls

Answers

Answer: 19, 18.71, 1. 19, 2. hundredth

Step-by-step explanation:

Round up as 7 is greater than 5, round up since 6 is greater than five, same as first

Help please I don’t understand this! Giving brainliest!

Answers

Answer:

200

Step-by-step explanation

100+400=500  BUS

300+400=700 SPORTS

sports-bus

700-500=200

Answer:

300 + 400 = 700

Step-by-step explanation:

Play sports, : 300 + 400 = 700

Don't play,     : 200 + 100 = 300

               

Grace has 2,640 beads to put on the bracelets she is making. It takes 48 beads to make each bracelet. How many bracelets can Grace make

Answers

Answer:

Grade can make 55 bracelets

Step-by-step explanation:

2640/48 = 55

Answer:

55

Step-by-step explanation:

2640 divided by 48

the answer is 55

I AM GIVING OUT BRAINLIEST

Answers

a. yes b. yes c. no d. yes e. no. f. yes

A solid has 6 faces and 8
vertices. How many edges
does it have?
Euler's Formula: F+ V - E = 2
Fnter

Answers

Answer:

4 edges

Step-by-step explanation:

the shape is a cube

Answer: 12

Step-by-step explanation:

Euler’s formula: F + V - E = 2

6 + 8 - E = 2

14 - E = 2

You find E by subtracting 14 with 2

14 - 2 = 12

E = 12

PLEASE I NEED THIS ASAP! FIRST CORRECT ANSWER GETS BRAINLY!

the two dot plots below compare the forearm lengths of two groups of school children.

based on visual inspection of the dot plots, which group appears to have the longer average forearm length?

A. Group B, because five children have a forearm length longer than 12 inches.
B. Group B, because a child in the group has the least forearm length of 10 inches.
C. Group A, because no child in the group has a forearm length longer than 12 inches.
D. Group B, because four children in the group have the least forearm length of 10 inches.

Answers

answer is A

please give brainliest:)

Answer:

A ;)

Step-by-step explanation:

Person above was right.

HELP ASAP!
Find the value of x. -1x + 72 = -3x + 84

Answers

Answer:

x=6

Step-by-step explanation:

First, add x to each side.

72=-2x+84

Subtract 84 from each side

-12=-2x

Dive each side by -2

6=x

Answer:

x=6

Step-by-step explanation:

-1x+72=-3x+84

+3x on both sides

2x+72=84

subtract 72 on both sides

2x=12

divide by 2 on both sides

x=6

What is the value of x in the equation 2x + 3y = 36, when y = 6?
08
9
27
36​

Answers

2x+3(6)=36
2x+18=36
subtract 18 both sides
2x=18
x=9

1. With the points
A(-4,-2) B(1, -3) C(2,-5) D(-1, 7).
What are the new points if the scale factor of dilation is 3?

Answers

Answer:

B': (-12,15)

Step-by-step explanation:

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